A q - Lorentz Algebra From q - Deformed Harmonic Oscillators

A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the qdeformed regime is then applied to q-deformed bosonic oscillators to generate a q-deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generators are reformulated into q-deformed rotations and boosts. Finally, a relation between the q-boson operators and a basis of q-deformed Minkowski coordinates is noted.